Finding the Third Proportional to 52,544 and 76,768

Step by Step Solution

1. Step 1: Write the proportion equation
   52,544 : 76,768 = 76,768 : x
2. Step 2: Convert to fraction form
   52,544/76,768 = 76,768/x
3. Step 3: Cross multiply
   52,544x = 76,768 × 76,768
4. Step 4: Simplify right side
   52,544x = 5,893,325,824
5. Step 5: Solve for x
   x = 5,893,325,824/52,544
6. Step 6: Final answer
   x = 112,159.82